Question

The function d(t)=300,000t represents the distance (in kilometers) that light travels in t seconds.

Answer 1

Answer:

a. The light travels 4,500,000 kilometers in 15 seconds

b. It takes the light 40 seconds to travel 12 million kilometers

Step-by-step explanation:

- The function d(t) = 300,000 t represents the distance in kilometers

  that light travel in t seconds

a.

- We need to find how far the light travels in 15 seconds

∵ d(t) = 300,000 t

∵ t = 15 seconds

- Substitute the value of t in the function above

∴ d(t) = 300,000 (15)

∴ d(t) = 4,500,000 kilometers

The light travels 4,500,000 kilometers in 15 seconds

b.

- We need to find how long does it takes the light to travel 12 million

  kilometers

∵ d(t) = 12 million kilometers = 12,000,000 km

∵ d(t) = 300,000 t

- Substitute the value of d(t) in the function

∴ 12,000,000 = 300,000 t

- Divide both sides by 300,000

∴ t = 40 seconds

It takes the light 40 seconds to travel 12 million kilometers